Mathematical Formula Handbook
1. Series Arithmetic and Geometric progressions A.P. Sn = a +(a +d)+(a +2d)+ +[a +(n 1)d] = n 2 [2a +(n 1)d] G.P. Sn = a + ar + ar2 + +arn 1 = a 1 rn 1 r, S1 = a 1 r for jrj < 1 (These results also hold for complex series.) Convergence of series: the ratio test Sn = u1 +u2 +u3 + +un converges as n! 1 if lim n!1 un+1 un < 1 Convergence of series ...
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